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816650660 = 225722273671
BaseRepresentation
bin110000101011010…
…001100110100100
32002220200011002202
4300223101212210
53133030310120
6213011354032
726144262500
oct6053214644
92086604082
10816650660
11389a83801
121a95b2918
13100262957
147a661300
154ba65875
hex30ad19a4

816650660 has 72 divisors (see below), whose sum is σ = 2004295104. Its totient is φ = 278685120.

The previous prime is 816650633. The next prime is 816650671. The reversal of 816650660 is 66056618.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220625 + ... + 224295.

It is an arithmetic number, because the mean of its divisors is an integer number (27837432).

Almost surely, 2816650660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816650660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002147552).

816650660 is an abundant number, since it is smaller than the sum of its proper divisors (1187644444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

816650660 is a wasteful number, since it uses less digits than its factorization.

816650660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 816650660 is about 28577.1002727709. The cubic root of 816650660 is about 934.7140536558.

The spelling of 816650660 in words is "eight hundred sixteen million, six hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 227 245 454 490 908 980 1135 1589 2270 3178 3671 4540 6356 7342 7945 11123 14684 15890 18355 22246 25697 31780 36710 44492 51394 55615 73420 102788 111230 128485 179879 222460 256970 359758 513940 719516 833317 899395 1666634 1798790 3333268 3597580 4166585 5833219 8333170 11666438 16666340 23332876 29166095 40832533 58332190 81665066 116664380 163330132 204162665 408325330 816650660